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Question

Find the respective terms for the following APs
a2=38,a6=22 find a1,a3.a4,a5

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Solution

a2=38 a6=22
a2=a+d=38 ...........(1)
a6=a+5d=22 .......(2)
Equation (1)-(2), gives
4d=60
d=15
Substitute d=15 in Equation (1)
a+(15)=38
a=53
a3=a+2d=53+2(15)=23
a4=a+3d=53+3(15)=8
a5=a+4d=53+4(15)=7
a1=53,a3=23,a4=8,a5=7


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